Examines the relation between children's (1) probability learning performance and a measure of their memory for items presented in a sequence and (2) probability learning and performance on a test of abstractive integration. Participating were 80 six- and seven-year-old boys and girls from both low and middle socioeconomic classes. (Author/RH)

All instruction, including social studies, should be concerned with developing both halves of the brain rather than continuing to place emphasis only on those functions which reside in the left cerebral hemisphere. When presented with a social studies problem, students can view it in two ways--logically and intuitively. (RM)

Describes the mathematical processes that occur during problem solving, reasoning, and communication. Provides examples from mathematics education research with preschoolers. (ASK)

Deductive reasoning problems were presented to 72 public elementary school students, half of whom were identified as gifted (mean age of 9.6 years) and half of whom were regular education students (mean age of 9.3 years). They were used to test an hypothesis that gifted children who score significantly higher than average on standardized…

This paper describes and evaluates a new abstract form of the Purdue Elementary Problem-Solving Inventory. The new test parallels a shortened form of the original Inventory, but presents problems verbally rather than through slides. Both forms were given to advantaged and disadvantaged second- and fourth-graders. For the total sample, the slide…

A developmental study of elementary school children's use of rule v computation in solving spacial perspective-taking problems. (CM)

Compares two approaches to the teaching of mathematics, rote versus reasoning. Discusses the way to teach mathematics as reasoning in elementary classroom as stated in the NCTM Standards. (YP)

This paper describes two experiments in which children in grades 1, 3, and 5 were given three kinds of spatial perspective-taking problems to solve as quickly as they could: (1) C problems, solvable only by computation (that is, noting which features of a particular object array were closest to another observer in order to estimate how the array…

This study considers two problems related to cognitive development: "Is development hierarchical?" and "If so, what are the mechanisms involved in the process of development?" Analysis of the results of an experiment lead to differentiation of stages of development, and problem-solving strategies at each level are discussed.…

Twenty-nine children with learning disabilities (LD) in grades 2 and 4 through 7 were compared with children without LD for their development of proportional structures of thought. Significantly fewer children with LD had constructed second-order logical structures necessary to act on problems using multiplicative and preproportional reasoning.…

A study with 57 second graders identified some logically irrelevant transformations that children considered relevant in relation to the weight of an object. Two logically relevant transformations, movement upward and movement downward, were irrelevant to the subjects, whether texture, continuity, temperature, and darkness were generally…

Twenty-four sixth-grade children participated in clinical interviews on ratio and proportion before receiving instruction in the domain. Student thinking was analyzed in terms of mathematical components critical to proportional reasoning. Two components, relative thinking and unitizing, were consistently related to higher levels of sophistication…

The achievement of bilingualism appears to have positive consequences for the bilingual child, enhancing universal aspects of cognitive functioning available to all normal children. However, little is yet known about the interaction between educational treatment and the input factors the bilingual child brings to the situation. Focusing on the…

Discusses prerequisites that help students develop multiple strategies for solving problems as recommended in the National Council of Teachers of Mathematics'"Curriculum and Evaluation Standards." Presents two examples of activities involving addition, subtraction, and permutations that promote multiple strategies. Suggests ways to…